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Statements

Subject Item
n2:RIV%2F00025615%3A_____%2F14%3A%230002083%21RIV15-GA0-00025615
rdf:type
n11:Vysledek skos:Concept
dcterms:description
In physical geodesy mathematical tools applied for solving problems of potential theory are often essentially associated with the concept of the so-called spherical approximation (interpreted as a mapping). The same holds true for the method of analytical (harmonic) continuation which is frequently considered as a means suitable for converting the ground gravity anomalies or disturbances to corresponding values on the level surface that is close to the original boundary. In the development and implementation of this technique the key role has the representation of a harmonic function by means of the famous Poisson’s formula and the construction of a radial derivative operator on the basis of this formula. In this contribution an attempt is made to avoid spherical approximation mentioned above and to develop mathematical tools that allow implementation of the concept of analytical continuation also in a more general case, in particular for converting the ground gravity anomalies or disturbances to corresponding values on the surface of an oblate ellipsoid of revolution. The respective integral kernels are constructed with the aid of series of ellipsoidal harmonics and their summation, but also the mathematical nature of the boundary date is discussed in more details. In physical geodesy mathematical tools applied for solving problems of potential theory are often essentially associated with the concept of the so-called spherical approximation (interpreted as a mapping). The same holds true for the method of analytical (harmonic) continuation which is frequently considered as a means suitable for converting the ground gravity anomalies or disturbances to corresponding values on the level surface that is close to the original boundary. In the development and implementation of this technique the key role has the representation of a harmonic function by means of the famous Poisson’s formula and the construction of a radial derivative operator on the basis of this formula. In this contribution an attempt is made to avoid spherical approximation mentioned above and to develop mathematical tools that allow implementation of the concept of analytical continuation also in a more general case, in particular for converting the ground gravity anomalies or disturbances to corresponding values on the surface of an oblate ellipsoid of revolution. The respective integral kernels are constructed with the aid of series of ellipsoidal harmonics and their summation, but also the mathematical nature of the boundary date is discussed in more details.
dcterms:title
Analytical Continuation in Physical Geodesy Constructed by Means of Tools and Formulas Related to an Ellipsoid of Revolution Analytical Continuation in Physical Geodesy Constructed by Means of Tools and Formulas Related to an Ellipsoid of Revolution
skos:prefLabel
Analytical Continuation in Physical Geodesy Constructed by Means of Tools and Formulas Related to an Ellipsoid of Revolution Analytical Continuation in Physical Geodesy Constructed by Means of Tools and Formulas Related to an Ellipsoid of Revolution
skos:notation
RIV/00025615:_____/14:#0002083!RIV15-GA0-00025615
n3:aktivita
n8:P
n3:aktivity
P(ED1.1.00/02.0090), P(GA14-34595S)
n3:dodaniDat
n14:2015
n3:domaciTvurceVysledku
n7:3365093 n7:7619413
n3:druhVysledku
n13:A
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
2885
n3:idVysledku
RIV/00025615:_____/14:#0002083
n3:jazykVysledku
n9:eng
n3:klicovaSlova
Earth’s gravity field; linear gravimetric boundary value problem; integral representation of the solution; Neumann’s function; vertical derivative of the disturbing potential; vertical gradient of gravity
n3:klicoveSlovo
n12:integral%20representation%20of%20the%20solution n12:Neumann%E2%80%99s%20function n12:Earth%E2%80%99s%20gravity%20field n12:linear%20gravimetric%20boundary%20value%20problem n12:vertical%20derivative%20of%20the%20disturbing%20potential n12:vertical%20gradient%20of%20gravity
n3:kodPristupu
n10:L
n3:kontrolniKodProRIV
[B87E4CE2A0D8]
n3:mistoVydani
Vienna
n3:objednatelVyzkumneZpravy
European Geosciences Union
n3:obor
n15:DE
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n4:GA14-34595S n4:ED1.1.00%2F02.0090
n3:rokUplatneniVysledku
n14:2014
n3:tvurceVysledku
Nesvadba, Otakar Holota, Petr